9(7.6n-.5)+4.6=-280.48

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Solution for 9(7.6n-.5)+4.6=-280.48 equation: 


Simplifying
9(7.6n + -0.5) + 4.6 = -280.48

Reorder the terms:
9(-0.5 + 7.6n) + 4.6 = -280.48
(-0.5 * 9 + 7.6n * 9) + 4.6 = -280.48
(-4.5 + 68.4n) + 4.6 = -280.48

Reorder the terms:
-4.5 + 4.6 + 68.4n = -280.48

Combine like terms: -4.5 + 4.6 = 0.1
0.1 + 68.4n = -280.48

Solving
0.1 + 68.4n = -280.48

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 68.4n = -280.48 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 68.4n = -280.48 + -0.1
68.4n = -280.48 + -0.1

Combine like terms: -280.48 + -0.1 = -280.58
68.4n = -280.58

Divide each side by '68.4'.
n = -4.102046784

Simplifying
n = -4.102046784

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